The discussion revolves around the function ƒ(x) = 1/√(k² - x²), where k is a positive constant. Participants are tasked with sketching the graph of this function and determining its domain.
The discussion is ongoing, with participants exploring the implications of k as a parameter and how it affects the graph. Some guidance has been offered on sketching the graph, but no consensus has been reached on the domain or specific values for k.
Participants are navigating the constraints of the problem, particularly regarding the unspecified nature of k and its role in defining the function's behavior.
k is an unspecified constant - a parameter. k could be 1 or 2, but you shouldn't assume that it is any specific value.noahsdev said:Homework Statement
Consider the function ƒ:-k,k→R, where ƒ(x) = 1/√(k2-x2), where k is a positive constant.
(i) Sketch the graph of y = ƒ(x)
(ii) What is the domain of the function?
Homework Equations
ƒ(x) = 1/√(k2-x2)
The Attempt at a Solution
I don't understand how I am supposed to solve this. Couldn't k equal anything? Why couldn't it be 1 or 2? This makes no sense.
Help is appreciated. Thanks.
noahsdev said:I don't understand how I am supposed to solve this. Couldn't k equal anything? Why couldn't it be 1 or 2? This makes no sense.
Help is appreciated. Thanks.
noahsdev, after you label some point k on the positive side, label another as -k on the negative side. Then draw your graph.LCKurtz said:Just draw an x axis, mark some point on the positive side, and label it k. Then draw your graph.